Finding the Third Proportional to 96,782 and 152,086

Step by Step Solution

1. Step 1: Write the proportion equation
   96,782 : 152,086 = 152,086 : x
2. Step 2: Convert to fraction form
   96,782/152,086 = 152,086/x
3. Step 3: Cross multiply
   96,782x = 152,086 × 152,086
4. Step 4: Simplify right side
   96,782x = 23,130,151,396
5. Step 5: Solve for x
   x = 23,130,151,396/96,782
6. Step 6: Final answer
   x = 238,992.29