Finding the Third Proportional to 83,642.50 and 171,362

Step by Step Solution

1. Step 1: Write the proportion equation
   83,642.50 : 171,362 = 171,362 : x
2. Step 2: Convert to fraction form
   83,642.50/171,362 = 171,362/x
3. Step 3: Cross multiply
   83,642.50x = 171,362 × 171,362
4. Step 4: Simplify right side
   83,642.50x = 29,364,935,044
5. Step 5: Solve for x
   x = 29,364,935,044/83,642.50
6. Step 6: Final answer
   x = 351,076.73