Finding the Third Proportional to 140,962.50 and 293,588.25

Step by Step Solution

1. Step 1: Write the proportion equation
   140,962.50 : 293,588.25 = 293,588.25 : x
2. Step 2: Convert to fraction form
   140,962.50/293,588.25 = 293,588.25/x
3. Step 3: Cross multiply
   140,962.50x = 293,588.25 × 293,588.25
4. Step 4: Simplify right side
   140,962.50x = 86,194,060,538.06
5. Step 5: Solve for x
   x = 86,194,060,538.06/140,962.50
6. Step 6: Final answer
   x = 611,468.02