Finding the Third Proportional to 116,049 and 156,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,049 : 156,577.50 = 156,577.50 : x
2. Step 2: Convert to fraction form
   116,049/156,577.50 = 156,577.50/x
3. Step 3: Cross multiply
   116,049x = 156,577.50 × 156,577.50
4. Step 4: Simplify right side
   116,049x = 24,516,513,506.25
5. Step 5: Solve for x
   x = 24,516,513,506.25/116,049
6. Step 6: Final answer
   x = 211,260.02