Finding the Third Proportional to 79,827 and 119,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,827 : 119,047.50 = 119,047.50 : x
2. Step 2: Convert to fraction form
   79,827/119,047.50 = 119,047.50/x
3. Step 3: Cross multiply
   79,827x = 119,047.50 × 119,047.50
4. Step 4: Simplify right side
   79,827x = 14,172,307,256.25
5. Step 5: Solve for x
   x = 14,172,307,256.25/79,827
6. Step 6: Final answer
   x = 177,537.77