Finding the Third Proportional to 69,264 and 149,599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,264 : 149,599.50 = 149,599.50 : x
2. Step 2: Convert to fraction form
   69,264/149,599.50 = 149,599.50/x
3. Step 3: Cross multiply
   69,264x = 149,599.50 × 149,599.50
4. Step 4: Simplify right side
   69,264x = 22,380,010,400.25
5. Step 5: Solve for x
   x = 22,380,010,400.25/69,264
6. Step 6: Final answer
   x = 323,111.72