Finding the Third Proportional to 65,502,894 and 102,742,096

Step by Step Solution

1. Step 1: Write the proportion equation
   65,502,894 : 102,742,096 = 102,742,096 : x
2. Step 2: Convert to fraction form
   65,502,894/102,742,096 = 102,742,096/x
3. Step 3: Cross multiply
   65,502,894x = 102,742,096 × 102,742,096
4. Step 4: Simplify right side
   65,502,894x = 10,555,938,290,473,216
5. Step 5: Solve for x
   x = 10,555,938,290,473,216/65,502,894
6. Step 6: Final answer
   x = 161,152,242.99