Finding the Third Proportional to 102,670 and 152,506

Step by Step Solution

1. Step 1: Write the proportion equation
   102,670 : 152,506 = 152,506 : x
2. Step 2: Convert to fraction form
   102,670/152,506 = 152,506/x
3. Step 3: Cross multiply
   102,670x = 152,506 × 152,506
4. Step 4: Simplify right side
   102,670x = 23,258,080,036
5. Step 5: Solve for x
   x = 23,258,080,036/102,670
6. Step 6: Final answer
   x = 226,532.39