Finding the Third Proportional to 83,112.75 and 178,051.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,112.75 : 178,051.50 = 178,051.50 : x
2. Step 2: Convert to fraction form
   83,112.75/178,051.50 = 178,051.50/x
3. Step 3: Cross multiply
   83,112.75x = 178,051.50 × 178,051.50
4. Step 4: Simplify right side
   83,112.75x = 31,702,336,652.25
5. Step 5: Solve for x
   x = 31,702,336,652.25/83,112.75
6. Step 6: Final answer
   x = 381,437.71