Finding the Third Proportional to 102,017 and 153,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,017 : 153,025.50 = 153,025.50 : x
2. Step 2: Convert to fraction form
   102,017/153,025.50 = 153,025.50/x
3. Step 3: Cross multiply
   102,017x = 153,025.50 × 153,025.50
4. Step 4: Simplify right side
   102,017x = 23,416,803,650.25
5. Step 5: Solve for x
   x = 23,416,803,650.25/102,017
6. Step 6: Final answer
   x = 229,538.25