Finding the Third Proportional to 69,547 and 152,215

Step by Step Solution

1. Step 1: Write the proportion equation
   69,547 : 152,215 = 152,215 : x
2. Step 2: Convert to fraction form
   69,547/152,215 = 152,215/x
3. Step 3: Cross multiply
   69,547x = 152,215 × 152,215
4. Step 4: Simplify right side
   69,547x = 23,169,406,225
5. Step 5: Solve for x
   x = 23,169,406,225/69,547
6. Step 6: Final answer
   x = 333,147.46