Finding the Third Proportional to 191,772 and 293,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   191,772 : 293,314.50 = 293,314.50 : x
2. Step 2: Convert to fraction form
   191,772/293,314.50 = 293,314.50/x
3. Step 3: Cross multiply
   191,772x = 293,314.50 × 293,314.50
4. Step 4: Simplify right side
   191,772x = 86,033,395,910.25
5. Step 5: Solve for x
   x = 86,033,395,910.25/191,772
6. Step 6: Final answer
   x = 448,623.34