Finding the Third Proportional to 158,565 and 217,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   158,565 : 217,432.50 = 217,432.50 : x
2. Step 2: Convert to fraction form
   158,565/217,432.50 = 217,432.50/x
3. Step 3: Cross multiply
   158,565x = 217,432.50 × 217,432.50
4. Step 4: Simplify right side
   158,565x = 47,276,892,056.25
5. Step 5: Solve for x
   x = 47,276,892,056.25/158,565
6. Step 6: Final answer
   x = 298,154.65