Finding the Third Proportional to 98,082 and 138,118.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,082 : 138,118.50 = 138,118.50 : x
2. Step 2: Convert to fraction form
   98,082/138,118.50 = 138,118.50/x
3. Step 3: Cross multiply
   98,082x = 138,118.50 × 138,118.50
4. Step 4: Simplify right side
   98,082x = 19,076,720,042.25
5. Step 5: Solve for x
   x = 19,076,720,042.25/98,082
6. Step 6: Final answer
   x = 194,497.67