Finding the Third Proportional to 109,656 and 148,590

Step by Step Solution

1. Step 1: Write the proportion equation
   109,656 : 148,590 = 148,590 : x
2. Step 2: Convert to fraction form
   109,656/148,590 = 148,590/x
3. Step 3: Cross multiply
   109,656x = 148,590 × 148,590
4. Step 4: Simplify right side
   109,656x = 22,078,988,100
5. Step 5: Solve for x
   x = 22,078,988,100/109,656
6. Step 6: Final answer
   x = 201,347.74