Finding the Third Proportional to 102,114 and 152,559

Step by Step Solution

1. Step 1: Write the proportion equation
   102,114 : 152,559 = 152,559 : x
2. Step 2: Convert to fraction form
   102,114/152,559 = 152,559/x
3. Step 3: Cross multiply
   102,114x = 152,559 × 152,559
4. Step 4: Simplify right side
   102,114x = 23,274,248,481
5. Step 5: Solve for x
   x = 23,274,248,481/102,114
6. Step 6: Final answer
   x = 227,924.17