Finding the Third Proportional to 100,091.25 and 155,875.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,091.25 : 155,875.50 = 155,875.50 : x
2. Step 2: Convert to fraction form
   100,091.25/155,875.50 = 155,875.50/x
3. Step 3: Cross multiply
   100,091.25x = 155,875.50 × 155,875.50
4. Step 4: Simplify right side
   100,091.25x = 24,297,171,500.25
5. Step 5: Solve for x
   x = 24,297,171,500.25/100,091.25
6. Step 6: Final answer
   x = 242,750.21