Finding the Third Proportional to 116,776 and 156,911

Step by Step Solution

1. Step 1: Write the proportion equation
   116,776 : 156,911 = 156,911 : x
2. Step 2: Convert to fraction form
   116,776/156,911 = 156,911/x
3. Step 3: Cross multiply
   116,776x = 156,911 × 156,911
4. Step 4: Simplify right side
   116,776x = 24,621,061,921
5. Step 5: Solve for x
   x = 24,621,061,921/116,776
6. Step 6: Final answer
   x = 210,840.09