Finding the Third Proportional to 102,188 and 152,654

Step by Step Solution

1. Step 1: Write the proportion equation
   102,188 : 152,654 = 152,654 : x
2. Step 2: Convert to fraction form
   102,188/152,654 = 152,654/x
3. Step 3: Cross multiply
   102,188x = 152,654 × 152,654
4. Step 4: Simplify right side
   102,188x = 23,303,243,716
5. Step 5: Solve for x
   x = 23,303,243,716/102,188
6. Step 6: Final answer
   x = 228,042.86