Finding the Third Proportional to 97,105 and 152,585

Step by Step Solution

1. Step 1: Write the proportion equation
   97,105 : 152,585 = 152,585 : x
2. Step 2: Convert to fraction form
   97,105/152,585 = 152,585/x
3. Step 3: Cross multiply
   97,105x = 152,585 × 152,585
4. Step 4: Simplify right side
   97,105x = 23,282,182,225
5. Step 5: Solve for x
   x = 23,282,182,225/97,105
6. Step 6: Final answer
   x = 239,762.96