Finding the Third Proportional to 77,152.50 and 156,451.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,152.50 : 156,451.50 = 156,451.50 : x
2. Step 2: Convert to fraction form
   77,152.50/156,451.50 = 156,451.50/x
3. Step 3: Cross multiply
   77,152.50x = 156,451.50 × 156,451.50
4. Step 4: Simplify right side
   77,152.50x = 24,477,071,852.25
5. Step 5: Solve for x
   x = 24,477,071,852.25/77,152.50
6. Step 6: Final answer
   x = 317,255.72