Finding the Third Proportional to 69,421 and 152,090

Step by Step Solution

1. Step 1: Write the proportion equation
   69,421 : 152,090 = 152,090 : x
2. Step 2: Convert to fraction form
   69,421/152,090 = 152,090/x
3. Step 3: Cross multiply
   69,421x = 152,090 × 152,090
4. Step 4: Simplify right side
   69,421x = 23,131,368,100
5. Step 5: Solve for x
   x = 23,131,368,100/69,421
6. Step 6: Final answer
   x = 333,204.19