Finding the Third Proportional to 100,775 and 152,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,775 : 152,465.50 = 152,465.50 : x
2. Step 2: Convert to fraction form
   100,775/152,465.50 = 152,465.50/x
3. Step 3: Cross multiply
   100,775x = 152,465.50 × 152,465.50
4. Step 4: Simplify right side
   100,775x = 23,245,728,690.25
5. Step 5: Solve for x
   x = 23,245,728,690.25/100,775
6. Step 6: Final answer
   x = 230,669.60