Finding the Third Proportional to 109,354.50 and 178,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,354.50 : 178,567.50 = 178,567.50 : x
2. Step 2: Convert to fraction form
   109,354.50/178,567.50 = 178,567.50/x
3. Step 3: Cross multiply
   109,354.50x = 178,567.50 × 178,567.50
4. Step 4: Simplify right side
   109,354.50x = 31,886,352,056.25
5. Step 5: Solve for x
   x = 31,886,352,056.25/109,354.50
6. Step 6: Final answer
   x = 291,587.01