Finding the Third Proportional to 111,762 and 151,875

Step by Step Solution

1. Step 1: Write the proportion equation
   111,762 : 151,875 = 151,875 : x
2. Step 2: Convert to fraction form
   111,762/151,875 = 151,875/x
3. Step 3: Cross multiply
   111,762x = 151,875 × 151,875
4. Step 4: Simplify right side
   111,762x = 23,066,015,625
5. Step 5: Solve for x
   x = 23,066,015,625/111,762
6. Step 6: Final answer
   x = 206,385.14