Finding the Third Proportional to 116,814 and 177,529.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,814 : 177,529.50 = 177,529.50 : x
2. Step 2: Convert to fraction form
   116,814/177,529.50 = 177,529.50/x
3. Step 3: Cross multiply
   116,814x = 177,529.50 × 177,529.50
4. Step 4: Simplify right side
   116,814x = 31,516,723,370.25
5. Step 5: Solve for x
   x = 31,516,723,370.25/116,814
6. Step 6: Final answer
   x = 269,802.62