Finding the Third Proportional to 101,350 and 152,633

Step by Step Solution

1. Step 1: Write the proportion equation
   101,350 : 152,633 = 152,633 : x
2. Step 2: Convert to fraction form
   101,350/152,633 = 152,633/x
3. Step 3: Cross multiply
   101,350x = 152,633 × 152,633
4. Step 4: Simplify right side
   101,350x = 23,296,832,689
5. Step 5: Solve for x
   x = 23,296,832,689/101,350
6. Step 6: Final answer
   x = 229,865.15