Finding the Third Proportional to 71,133 and 109,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,133 : 109,777.50 = 109,777.50 : x
2. Step 2: Convert to fraction form
   71,133/109,777.50 = 109,777.50/x
3. Step 3: Cross multiply
   71,133x = 109,777.50 × 109,777.50
4. Step 4: Simplify right side
   71,133x = 12,051,099,506.25
5. Step 5: Solve for x
   x = 12,051,099,506.25/71,133
6. Step 6: Final answer
   x = 169,416.44