Finding the Third Proportional to 135,080 and 293,943.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,080 : 293,943.50 = 293,943.50 : x
2. Step 2: Convert to fraction form
   135,080/293,943.50 = 293,943.50/x
3. Step 3: Cross multiply
   135,080x = 293,943.50 × 293,943.50
4. Step 4: Simplify right side
   135,080x = 86,402,781,192.25
5. Step 5: Solve for x
   x = 86,402,781,192.25/135,080
6. Step 6: Final answer
   x = 639,641.55