Finding the Third Proportional to 106,012 and 148,590

Step by Step Solution

1. Step 1: Write the proportion equation
   106,012 : 148,590 = 148,590 : x
2. Step 2: Convert to fraction form
   106,012/148,590 = 148,590/x
3. Step 3: Cross multiply
   106,012x = 148,590 × 148,590
4. Step 4: Simplify right side
   106,012x = 22,078,988,100
5. Step 5: Solve for x
   x = 22,078,988,100/106,012
6. Step 6: Final answer
   x = 208,268.76