Finding the Third Proportional to 77,761.50 and 116,938.88

Step by Step Solution

1. Step 1: Write the proportion equation
   77,761.50 : 116,938.88 = 116,938.88 : x
2. Step 2: Convert to fraction form
   77,761.50/116,938.88 = 116,938.88/x
3. Step 3: Cross multiply
   77,761.50x = 116,938.88 × 116,938.88
4. Step 4: Simplify right side
   77,761.50x = 13,674,700,486.27
5. Step 5: Solve for x
   x = 13,674,700,486.27/77,761.50
6. Step 6: Final answer
   x = 175,854.38