Finding the Third Proportional to 77,123.50 and 156,393.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,123.50 : 156,393.50 = 156,393.50 : x
2. Step 2: Convert to fraction form
   77,123.50/156,393.50 = 156,393.50/x
3. Step 3: Cross multiply
   77,123.50x = 156,393.50 × 156,393.50
4. Step 4: Simplify right side
   77,123.50x = 24,458,926,842.25
5. Step 5: Solve for x
   x = 24,458,926,842.25/77,123.50
6. Step 6: Final answer
   x = 317,139.74