Finding the Third Proportional to 375,178 and 561,736

Step by Step Solution

1. Step 1: Write the proportion equation
   375,178 : 561,736 = 561,736 : x
2. Step 2: Convert to fraction form
   375,178/561,736 = 561,736/x
3. Step 3: Cross multiply
   375,178x = 561,736 × 561,736
4. Step 4: Simplify right side
   375,178x = 315,547,333,696
5. Step 5: Solve for x
   x = 315,547,333,696/375,178
6. Step 6: Final answer
   x = 841,060.33