Finding the Third Proportional to 100,064 and 152,159

Step by Step Solution

1. Step 1: Write the proportion equation
   100,064 : 152,159 = 152,159 : x
2. Step 2: Convert to fraction form
   100,064/152,159 = 152,159/x
3. Step 3: Cross multiply
   100,064x = 152,159 × 152,159
4. Step 4: Simplify right side
   100,064x = 23,152,361,281
5. Step 5: Solve for x
   x = 23,152,361,281/100,064
6. Step 6: Final answer
   x = 231,375.53