Finding the Third Proportional to 100,066 and 152,164

Step by Step Solution

1. Step 1: Write the proportion equation
   100,066 : 152,164 = 152,164 : x
2. Step 2: Convert to fraction form
   100,066/152,164 = 152,164/x
3. Step 3: Cross multiply
   100,066x = 152,164 × 152,164
4. Step 4: Simplify right side
   100,066x = 23,153,882,896
5. Step 5: Solve for x
   x = 23,153,882,896/100,066
6. Step 6: Final answer
   x = 231,386.11