Finding the Third Proportional to 135,946.50 and 291,582

Step by Step Solution

1. Step 1: Write the proportion equation
   135,946.50 : 291,582 = 291,582 : x
2. Step 2: Convert to fraction form
   135,946.50/291,582 = 291,582/x
3. Step 3: Cross multiply
   135,946.50x = 291,582 × 291,582
4. Step 4: Simplify right side
   135,946.50x = 85,020,062,724
5. Step 5: Solve for x
   x = 85,020,062,724/135,946.50
6. Step 6: Final answer
   x = 625,393.54