Finding the Third Proportional to 562,200,698,134 and 856,473,875,278

Step by Step Solution

1. Step 1: Write the proportion equation
   562,200,698,134 : 856,473,875,278 = 856,473,875,278 : x
2. Step 2: Convert to fraction form
   562,200,698,134/856,473,875,278 = 856,473,875,278/x
3. Step 3: Cross multiply
   562,200,698,134x = 856,473,875,278 × 856,473,875,278
4. Step 4: Simplify right side
   562,200,698,134x = 733,547,499,033,715,061,817,344
5. Step 5: Solve for x
   x = 733,547,499,033,715,061,817,344/562,200,698,134
6. Step 6: Final answer
   x = 1,304,778,705,306.54