Finding the Third Proportional to 53,634 and 78,900

Step by Step Solution

1. Step 1: Write the proportion equation
   53,634 : 78,900 = 78,900 : x
2. Step 2: Convert to fraction form
   53,634/78,900 = 78,900/x
3. Step 3: Cross multiply
   53,634x = 78,900 × 78,900
4. Step 4: Simplify right side
   53,634x = 6,225,210,000
5. Step 5: Solve for x
   x = 6,225,210,000/53,634
6. Step 6: Final answer
   x = 116,068.35