Finding the Third Proportional to 42,164 and 88,202

Step by Step Solution

1. Step 1: Write the proportion equation
   42,164 : 88,202 = 88,202 : x
2. Step 2: Convert to fraction form
   42,164/88,202 = 88,202/x
3. Step 3: Cross multiply
   42,164x = 88,202 × 88,202
4. Step 4: Simplify right side
   42,164x = 7,779,592,804
5. Step 5: Solve for x
   x = 7,779,592,804/42,164
6. Step 6: Final answer
   x = 184,507.94