Finding the Third Proportional to 155,005 and 219,392.50

Step by Step Solution

1. Step 1: Write the proportion equation
   155,005 : 219,392.50 = 219,392.50 : x
2. Step 2: Convert to fraction form
   155,005/219,392.50 = 219,392.50/x
3. Step 3: Cross multiply
   155,005x = 219,392.50 × 219,392.50
4. Step 4: Simplify right side
   155,005x = 48,133,069,056.25
5. Step 5: Solve for x
   x = 48,133,069,056.25/155,005
6. Step 6: Final answer
   x = 310,525.91