Finding the Third Proportional to 49,210 and 76,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,210 : 76,407.50 = 76,407.50 : x
2. Step 2: Convert to fraction form
   49,210/76,407.50 = 76,407.50/x
3. Step 3: Cross multiply
   49,210x = 76,407.50 × 76,407.50
4. Step 4: Simplify right side
   49,210x = 5,838,106,056.25
5. Step 5: Solve for x
   x = 5,838,106,056.25/49,210
6. Step 6: Final answer
   x = 118,636.58