Finding the Third Proportional to 101,432 and 152,166

Step by Step Solution

1. Step 1: Write the proportion equation
   101,432 : 152,166 = 152,166 : x
2. Step 2: Convert to fraction form
   101,432/152,166 = 152,166/x
3. Step 3: Cross multiply
   101,432x = 152,166 × 152,166
4. Step 4: Simplify right side
   101,432x = 23,154,491,556
5. Step 5: Solve for x
   x = 23,154,491,556/101,432
6. Step 6: Final answer
   x = 228,276.00