Finding the Third Proportional to 77,210 and 116,000.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,210 : 116,000.50 = 116,000.50 : x
2. Step 2: Convert to fraction form
   77,210/116,000.50 = 116,000.50/x
3. Step 3: Cross multiply
   77,210x = 116,000.50 × 116,000.50
4. Step 4: Simplify right side
   77,210x = 13,456,116,000.25
5. Step 5: Solve for x
   x = 13,456,116,000.25/77,210
6. Step 6: Final answer
   x = 174,279.45