Finding the Third Proportional to 98,397 and 138,073.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,397 : 138,073.50 = 138,073.50 : x
2. Step 2: Convert to fraction form
   98,397/138,073.50 = 138,073.50/x
3. Step 3: Cross multiply
   98,397x = 138,073.50 × 138,073.50
4. Step 4: Simplify right side
   98,397x = 19,064,291,402.25
5. Step 5: Solve for x
   x = 19,064,291,402.25/98,397
6. Step 6: Final answer
   x = 193,748.71