Finding the Third Proportional to 112,836 and 178,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   112,836 : 178,501.50 = 178,501.50 : x
2. Step 2: Convert to fraction form
   112,836/178,501.50 = 178,501.50/x
3. Step 3: Cross multiply
   112,836x = 178,501.50 × 178,501.50
4. Step 4: Simplify right side
   112,836x = 31,862,785,502.25
5. Step 5: Solve for x
   x = 31,862,785,502.25/112,836
6. Step 6: Final answer
   x = 282,381.38