Finding the Third Proportional to 135,324 and 292,306.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,324 : 292,306.50 = 292,306.50 : x
2. Step 2: Convert to fraction form
   135,324/292,306.50 = 292,306.50/x
3. Step 3: Cross multiply
   135,324x = 292,306.50 × 292,306.50
4. Step 4: Simplify right side
   135,324x = 85,443,089,942.25
5. Step 5: Solve for x
   x = 85,443,089,942.25/135,324
6. Step 6: Final answer
   x = 631,396.43