Finding the Third Proportional to 85,051.50 and 186,264

Step by Step Solution

1. Step 1: Write the proportion equation
   85,051.50 : 186,264 = 186,264 : x
2. Step 2: Convert to fraction form
   85,051.50/186,264 = 186,264/x
3. Step 3: Cross multiply
   85,051.50x = 186,264 × 186,264
4. Step 4: Simplify right side
   85,051.50x = 34,694,277,696
5. Step 5: Solve for x
   x = 34,694,277,696/85,051.50
6. Step 6: Final answer
   x = 407,920.82