Finding the Third Proportional to 76,358 and 111,513

Step by Step Solution

1. Step 1: Write the proportion equation
   76,358 : 111,513 = 111,513 : x
2. Step 2: Convert to fraction form
   76,358/111,513 = 111,513/x
3. Step 3: Cross multiply
   76,358x = 111,513 × 111,513
4. Step 4: Simplify right side
   76,358x = 12,435,149,169
5. Step 5: Solve for x
   x = 12,435,149,169/76,358
6. Step 6: Final answer
   x = 162,853.26