Finding the Third Proportional to 177,799.50 and 385,731

Step by Step Solution

1. Step 1: Write the proportion equation
   177,799.50 : 385,731 = 385,731 : x
2. Step 2: Convert to fraction form
   177,799.50/385,731 = 385,731/x
3. Step 3: Cross multiply
   177,799.50x = 385,731 × 385,731
4. Step 4: Simplify right side
   177,799.50x = 148,788,404,361
5. Step 5: Solve for x
   x = 148,788,404,361/177,799.50
6. Step 6: Final answer
   x = 836,832.52