Finding the Third Proportional to 136,464 and 296,122.50

Step by Step Solution

1. Step 1: Write the proportion equation
   136,464 : 296,122.50 = 296,122.50 : x
2. Step 2: Convert to fraction form
   136,464/296,122.50 = 296,122.50/x
3. Step 3: Cross multiply
   136,464x = 296,122.50 × 296,122.50
4. Step 4: Simplify right side
   136,464x = 87,688,535,006.25
5. Step 5: Solve for x
   x = 87,688,535,006.25/136,464
6. Step 6: Final answer
   x = 642,576.32