Finding the Third Proportional to 157,626 and 216,751.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,626 : 216,751.50 = 216,751.50 : x
2. Step 2: Convert to fraction form
   157,626/216,751.50 = 216,751.50/x
3. Step 3: Cross multiply
   157,626x = 216,751.50 × 216,751.50
4. Step 4: Simplify right side
   157,626x = 46,981,212,752.25
5. Step 5: Solve for x
   x = 46,981,212,752.25/157,626
6. Step 6: Final answer
   x = 298,054.97