Finding the Third Proportional to 46,341 and 82,710.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,341 : 82,710.50 = 82,710.50 : x
2. Step 2: Convert to fraction form
   46,341/82,710.50 = 82,710.50/x
3. Step 3: Cross multiply
   46,341x = 82,710.50 × 82,710.50
4. Step 4: Simplify right side
   46,341x = 6,841,026,810.25
5. Step 5: Solve for x
   x = 6,841,026,810.25/46,341
6. Step 6: Final answer
   x = 147,623.63