Finding the Third Proportional to 69,064 and 152,647

Step by Step Solution

1. Step 1: Write the proportion equation
   69,064 : 152,647 = 152,647 : x
2. Step 2: Convert to fraction form
   69,064/152,647 = 152,647/x
3. Step 3: Cross multiply
   69,064x = 152,647 × 152,647
4. Step 4: Simplify right side
   69,064x = 23,301,106,609
5. Step 5: Solve for x
   x = 23,301,106,609/69,064
6. Step 6: Final answer
   x = 337,384.26