Finding the Third Proportional to 102,630 and 153,535.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,630 : 153,535.50 = 153,535.50 : x
2. Step 2: Convert to fraction form
   102,630/153,535.50 = 153,535.50/x
3. Step 3: Cross multiply
   102,630x = 153,535.50 × 153,535.50
4. Step 4: Simplify right side
   102,630x = 23,573,149,760.25
5. Step 5: Solve for x
   x = 23,573,149,760.25/102,630
6. Step 6: Final answer
   x = 229,690.63