Finding the Third Proportional to 102,134 and 152,583

Step by Step Solution

1. Step 1: Write the proportion equation
   102,134 : 152,583 = 152,583 : x
2. Step 2: Convert to fraction form
   102,134/152,583 = 152,583/x
3. Step 3: Cross multiply
   102,134x = 152,583 × 152,583
4. Step 4: Simplify right side
   102,134x = 23,281,571,889
5. Step 5: Solve for x
   x = 23,281,571,889/102,134
6. Step 6: Final answer
   x = 227,951.24