Finding the Third Proportional to 76,558 and 111,813

Step by Step Solution

1. Step 1: Write the proportion equation
   76,558 : 111,813 = 111,813 : x
2. Step 2: Convert to fraction form
   76,558/111,813 = 111,813/x
3. Step 3: Cross multiply
   76,558x = 111,813 × 111,813
4. Step 4: Simplify right side
   76,558x = 12,502,146,969
5. Step 5: Solve for x
   x = 12,502,146,969/76,558
6. Step 6: Final answer
   x = 163,302.95