Finding the Third Proportional to 102,698 and 152,541

Step by Step Solution

1. Step 1: Write the proportion equation
   102,698 : 152,541 = 152,541 : x
2. Step 2: Convert to fraction form
   102,698/152,541 = 152,541/x
3. Step 3: Cross multiply
   102,698x = 152,541 × 152,541
4. Step 4: Simplify right side
   102,698x = 23,268,756,681
5. Step 5: Solve for x
   x = 23,268,756,681/102,698
6. Step 6: Final answer
   x = 226,574.58