Finding the Third Proportional to 76,336 and 112,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,336 : 112,222.50 = 112,222.50 : x
2. Step 2: Convert to fraction form
   76,336/112,222.50 = 112,222.50/x
3. Step 3: Cross multiply
   76,336x = 112,222.50 × 112,222.50
4. Step 4: Simplify right side
   76,336x = 12,593,889,506.25
5. Step 5: Solve for x
   x = 12,593,889,506.25/76,336
6. Step 6: Final answer
   x = 164,979.69