Finding the Third Proportional to 78,970.50 and 186,417

Step by Step Solution

1. Step 1: Write the proportion equation
   78,970.50 : 186,417 = 186,417 : x
2. Step 2: Convert to fraction form
   78,970.50/186,417 = 186,417/x
3. Step 3: Cross multiply
   78,970.50x = 186,417 × 186,417
4. Step 4: Simplify right side
   78,970.50x = 34,751,297,889
5. Step 5: Solve for x
   x = 34,751,297,889/78,970.50
6. Step 6: Final answer
   x = 440,054.17