Finding the Third Proportional to 69,152 and 148,814

Step by Step Solution

1. Step 1: Write the proportion equation
   69,152 : 148,814 = 148,814 : x
2. Step 2: Convert to fraction form
   69,152/148,814 = 148,814/x
3. Step 3: Cross multiply
   69,152x = 148,814 × 148,814
4. Step 4: Simplify right side
   69,152x = 22,145,606,596
5. Step 5: Solve for x
   x = 22,145,606,596/69,152
6. Step 6: Final answer
   x = 320,245.35