Finding the Third Proportional to 152,526 and 233,328

Step by Step Solution

1. Step 1: Write the proportion equation
   152,526 : 233,328 = 233,328 : x
2. Step 2: Convert to fraction form
   152,526/233,328 = 233,328/x
3. Step 3: Cross multiply
   152,526x = 233,328 × 233,328
4. Step 4: Simplify right side
   152,526x = 54,441,955,584
5. Step 5: Solve for x
   x = 54,441,955,584/152,526
6. Step 6: Final answer
   x = 356,935.58