Finding the Third Proportional to 102,042 and 153,164

Step by Step Solution

1. Step 1: Write the proportion equation
   102,042 : 153,164 = 153,164 : x
2. Step 2: Convert to fraction form
   102,042/153,164 = 153,164/x
3. Step 3: Cross multiply
   102,042x = 153,164 × 153,164
4. Step 4: Simplify right side
   102,042x = 23,459,210,896
5. Step 5: Solve for x
   x = 23,459,210,896/102,042
6. Step 6: Final answer
   x = 229,897.60