Finding the Third Proportional to 76,727.25 and 155,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,727.25 : 155,641.50 = 155,641.50 : x
2. Step 2: Convert to fraction form
   76,727.25/155,641.50 = 155,641.50/x
3. Step 3: Cross multiply
   76,727.25x = 155,641.50 × 155,641.50
4. Step 4: Simplify right side
   76,727.25x = 24,224,276,522.25
5. Step 5: Solve for x
   x = 24,224,276,522.25/76,727.25
6. Step 6: Final answer
   x = 315,719.34