Finding the Third Proportional to 109,090 and 146,595

Step by Step Solution

1. Step 1: Write the proportion equation
   109,090 : 146,595 = 146,595 : x
2. Step 2: Convert to fraction form
   109,090/146,595 = 146,595/x
3. Step 3: Cross multiply
   109,090x = 146,595 × 146,595
4. Step 4: Simplify right side
   109,090x = 21,490,094,025
5. Step 5: Solve for x
   x = 21,490,094,025/109,090
6. Step 6: Final answer
   x = 196,994.17