Finding the Third Proportional to 191,961 and 301,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   191,961 : 301,102.50 = 301,102.50 : x
2. Step 2: Convert to fraction form
   191,961/301,102.50 = 301,102.50/x
3. Step 3: Cross multiply
   191,961x = 301,102.50 × 301,102.50
4. Step 4: Simplify right side
   191,961x = 90,662,715,506.25
5. Step 5: Solve for x
   x = 90,662,715,506.25/191,961
6. Step 6: Final answer
   x = 472,297.58