Finding the Third Proportional to 42,172 and 90,598

Step by Step Solution

1. Step 1: Write the proportion equation
   42,172 : 90,598 = 90,598 : x
2. Step 2: Convert to fraction form
   42,172/90,598 = 90,598/x
3. Step 3: Cross multiply
   42,172x = 90,598 × 90,598
4. Step 4: Simplify right side
   42,172x = 8,207,997,604
5. Step 5: Solve for x
   x = 8,207,997,604/42,172
6. Step 6: Final answer
   x = 194,631.45