Finding the Third Proportional to 135,321 and 293,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,321 : 293,695.50 = 293,695.50 : x
2. Step 2: Convert to fraction form
   135,321/293,695.50 = 293,695.50/x
3. Step 3: Cross multiply
   135,321x = 293,695.50 × 293,695.50
4. Step 4: Simplify right side
   135,321x = 86,257,046,720.25
5. Step 5: Solve for x
   x = 86,257,046,720.25/135,321
6. Step 6: Final answer
   x = 637,425.43