Finding the Third Proportional to 75,181.50 and 178,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,181.50 : 178,111.50 = 178,111.50 : x
2. Step 2: Convert to fraction form
   75,181.50/178,111.50 = 178,111.50/x
3. Step 3: Cross multiply
   75,181.50x = 178,111.50 × 178,111.50
4. Step 4: Simplify right side
   75,181.50x = 31,723,706,432.25
5. Step 5: Solve for x
   x = 31,723,706,432.25/75,181.50
6. Step 6: Final answer
   x = 421,961.61