Finding the Third Proportional to 38,090 and 88,166

Step by Step Solution

1. Step 1: Write the proportion equation
   38,090 : 88,166 = 88,166 : x
2. Step 2: Convert to fraction form
   38,090/88,166 = 88,166/x
3. Step 3: Cross multiply
   38,090x = 88,166 × 88,166
4. Step 4: Simplify right side
   38,090x = 7,773,243,556
5. Step 5: Solve for x
   x = 7,773,243,556/38,090
6. Step 6: Final answer
   x = 204,075.70