Finding the Third Proportional to 69,256.50 and 149,586

Step by Step Solution

1. Step 1: Write the proportion equation
   69,256.50 : 149,586 = 149,586 : x
2. Step 2: Convert to fraction form
   69,256.50/149,586 = 149,586/x
3. Step 3: Cross multiply
   69,256.50x = 149,586 × 149,586
4. Step 4: Simplify right side
   69,256.50x = 22,375,971,396
5. Step 5: Solve for x
   x = 22,375,971,396/69,256.50
6. Step 6: Final answer
   x = 323,088.39