Finding the Third Proportional to 109,527.50 and 164,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,527.50 : 164,777.50 = 164,777.50 : x
2. Step 2: Convert to fraction form
   109,527.50/164,777.50 = 164,777.50/x
3. Step 3: Cross multiply
   109,527.50x = 164,777.50 × 164,777.50
4. Step 4: Simplify right side
   109,527.50x = 27,151,624,506.25
5. Step 5: Solve for x
   x = 27,151,624,506.25/109,527.50
6. Step 6: Final answer
   x = 247,897.78