Finding the Third Proportional to 95,829 and 147,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,829 : 147,741.50 = 147,741.50 : x
2. Step 2: Convert to fraction form
   95,829/147,741.50 = 147,741.50/x
3. Step 3: Cross multiply
   95,829x = 147,741.50 × 147,741.50
4. Step 4: Simplify right side
   95,829x = 21,827,550,822.25
5. Step 5: Solve for x
   x = 21,827,550,822.25/95,829
6. Step 6: Final answer
   x = 227,776.05