Finding the Third Proportional to 98,036.50 and 138,054.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,036.50 : 138,054.50 = 138,054.50 : x
2. Step 2: Convert to fraction form
   98,036.50/138,054.50 = 138,054.50/x
3. Step 3: Cross multiply
   98,036.50x = 138,054.50 × 138,054.50
4. Step 4: Simplify right side
   98,036.50x = 19,059,044,970.25
5. Step 5: Solve for x
   x = 19,059,044,970.25/98,036.50
6. Step 6: Final answer
   x = 194,407.64