Finding the Third Proportional to 53,066 and 111,602

Step by Step Solution

1. Step 1: Write the proportion equation
   53,066 : 111,602 = 111,602 : x
2. Step 2: Convert to fraction form
   53,066/111,602 = 111,602/x
3. Step 3: Cross multiply
   53,066x = 111,602 × 111,602
4. Step 4: Simplify right side
   53,066x = 12,455,006,404
5. Step 5: Solve for x
   x = 12,455,006,404/53,066
6. Step 6: Final answer
   x = 234,707.84