Finding the Third Proportional to 49,029 and 105,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,029 : 105,832.50 = 105,832.50 : x
2. Step 2: Convert to fraction form
   49,029/105,832.50 = 105,832.50/x
3. Step 3: Cross multiply
   49,029x = 105,832.50 × 105,832.50
4. Step 4: Simplify right side
   49,029x = 11,200,518,056.25
5. Step 5: Solve for x
   x = 11,200,518,056.25/49,029
6. Step 6: Final answer
   x = 228,446.80