Finding the Third Proportional to 94,080 and 138,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,080 : 138,109.50 = 138,109.50 : x
2. Step 2: Convert to fraction form
   94,080/138,109.50 = 138,109.50/x
3. Step 3: Cross multiply
   94,080x = 138,109.50 × 138,109.50
4. Step 4: Simplify right side
   94,080x = 19,074,233,990.25
5. Step 5: Solve for x
   x = 19,074,233,990.25/94,080
6. Step 6: Final answer
   x = 202,744.83