Finding the Third Proportional to 100,686.50 and 235,156

Step by Step Solution

1. Step 1: Write the proportion equation
   100,686.50 : 235,156 = 235,156 : x
2. Step 2: Convert to fraction form
   100,686.50/235,156 = 235,156/x
3. Step 3: Cross multiply
   100,686.50x = 235,156 × 235,156
4. Step 4: Simplify right side
   100,686.50x = 55,298,344,336
5. Step 5: Solve for x
   x = 55,298,344,336/100,686.50
6. Step 6: Final answer
   x = 549,213.10