Finding the Third Proportional to 77,537 and 111,787

Step by Step Solution

1. Step 1: Write the proportion equation
   77,537 : 111,787 = 111,787 : x
2. Step 2: Convert to fraction form
   77,537/111,787 = 111,787/x
3. Step 3: Cross multiply
   77,537x = 111,787 × 111,787
4. Step 4: Simplify right side
   77,537x = 12,496,333,369
5. Step 5: Solve for x
   x = 12,496,333,369/77,537
6. Step 6: Final answer
   x = 161,166.07