Finding the Third Proportional to 77,145 and 156,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,145 : 156,436.50 = 156,436.50 : x
2. Step 2: Convert to fraction form
   77,145/156,436.50 = 156,436.50/x
3. Step 3: Cross multiply
   77,145x = 156,436.50 × 156,436.50
4. Step 4: Simplify right side
   77,145x = 24,472,378,532.25
5. Step 5: Solve for x
   x = 24,472,378,532.25/77,145
6. Step 6: Final answer
   x = 317,225.72