Finding the Third Proportional to 98,013 and 138,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,013 : 138,026.50 = 138,026.50 : x
2. Step 2: Convert to fraction form
   98,013/138,026.50 = 138,026.50/x
3. Step 3: Cross multiply
   98,013x = 138,026.50 × 138,026.50
4. Step 4: Simplify right side
   98,013x = 19,051,314,702.25
5. Step 5: Solve for x
   x = 19,051,314,702.25/98,013
6. Step 6: Final answer
   x = 194,375.39